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Bipolar Harmonic encoding of CMB correlation patterns

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arxiv 0912.3217 v2 pith:4NNIGSRB submitted 2009-12-16 astro-ph.CO gr-qchep-th

classification astro-ph.COgr-qchep-th
keywords modelsbipolarcorrelationharmonicisotropypatternsstatisticalanisotropic
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Deviations from statistical isotropy can be modeled in various ways, for instance, anisotropic cosmological models (Bianchi models), compact topologies and presence of primordial magnetic field. Signature of anisotropy manifests itself in CMB correlation patterns. Here we explore the symmetries of the correlation function and its implications on the observable measures constructed within the Bipolar harmonic formalism for these variety of models. Different quantifiers within the Bipolar harmonic representation are used to distinguish between plausible models of breakdown of statistical isotropy and as a spectroscopic tool for discriminating between distinct cosmic topology.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Wigner function shapelets: Symplectic representation of astronomical images

    astro-ph.CO 2026-02 conditional novelty 6.0 of 10

    A phase-space basis ('Wigner function shapelets') is constructed for galaxy images, with explicit formulas for weak-lensing responses and a proposed parity-violation probe.

  2. Probing the Cosmological Principle with weak lensing shear

    astro-ph.CO 2024-11 conditional novelty 4.0 of 10

    A Euclid-like weak lensing survey could detect the E-B shear cross-correlation produced by late-time anisotropic expansion, yielding a new probe of the Cosmological Principle.

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